MAYBE

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict Trs:
  { f(x, s(y)) -> f(y, x)
  , f(s(x), y) -> f(x, s(x))
  , f(c(x), y) -> f(x, s(x)) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

We add following dependency tuples:

Strict DPs:
  { f^#(x, s(y)) -> c_1(f^#(y, x))
  , f^#(s(x), y) -> c_2(f^#(x, s(x)))
  , f^#(c(x), y) -> c_3(f^#(x, s(x))) }

and mark the set of starting terms.

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict DPs:
  { f^#(x, s(y)) -> c_1(f^#(y, x))
  , f^#(s(x), y) -> c_2(f^#(x, s(x)))
  , f^#(c(x), y) -> c_3(f^#(x, s(x))) }
Weak Trs:
  { f(x, s(y)) -> f(y, x)
  , f(s(x), y) -> f(x, s(x))
  , f(c(x), y) -> f(x, s(x)) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

No rule is usable, rules are removed from the input problem.

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict DPs:
  { f^#(x, s(y)) -> c_1(f^#(y, x))
  , f^#(s(x), y) -> c_2(f^#(x, s(x)))
  , f^#(c(x), y) -> c_3(f^#(x, s(x))) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

None of the processors succeeded.

Details of failed attempt(s):
-----------------------------
1) 'matrices' failed due to the following reason:
   
   None of the processors succeeded.
   
   Details of failed attempt(s):
   -----------------------------
   1) 'matrix interpretation of dimension 4' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   2) 'matrix interpretation of dimension 3' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   3) 'matrix interpretation of dimension 3' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   4) 'matrix interpretation of dimension 2' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   5) 'matrix interpretation of dimension 2' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   6) 'matrix interpretation of dimension 1' failed due to the
      following reason:
      
      The input cannot be shown compatible
   

2) 'empty' failed due to the following reason:
   
   Empty strict component of the problem is NOT empty.


Arrrr..